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Finding the Third Proportional to 406.42 and 451.04

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Solution

The third proportional to 406.42 and 451.04 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 451.04 = 451.04 : x
  2. Step 2: Convert to fraction form
    406.42/451.04 = 451.04/x
  3. Step 3: Cross multiply
    406.42x = 451.04 × 451.04
  4. Step 4: Simplify right side
    406.42x = 203,434.47
  5. Step 5: Solve for x
    x = 203,434.47/406.42
  6. Step 6: Final answer
    x = 500.55

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.